* fingerprint at 4.0 microseconds and md5 at 4.5 microseconds.
 *
 * <p>Note to maintainers: This implementation relies on signed arithmetic being bit-wise equivalent
 * to unsigned arithmetic in all cases except:
 *
 * <ul>
 *   <li>comparisons (signed values can be negative)
 *   <li>division (avoided here)
 *   <li>shifting (right shift must be unsigned)
 * </ul>
 *

 * fingerprint at 4.0 microseconds and md5 at 4.5 microseconds.
 *
 * <p>Note to maintainers: This implementation relies on signed arithmetic being bit-wise equivalent
 * to unsigned arithmetic in all cases except:
 *
 * <ul>
 *   <li>comparisons (signed values can be negative)
 *   <li>division (avoided here)
 *   <li>shifting (right shift must be unsigned)
 * </ul>
 *

    return (int) x == x;
  }

  /**
   * Returns the arithmetic mean of {@code x} and {@code y}, rounded toward negative infinity. This
   * method is resilient to overflow.
   *
   * @since 14.0
   */
  public static long mean(long x, long y) {
    // Efficient method for computing the arithmetic mean.
    // The alternative (x + y) / 2 fails for large values.

  /** Helper method that asserts the arithmetic mean of x and y is equal to the expectedMean. */
  private static void assertMean(int expectedMean, int x, int y) {
    assertEquals(
        "The expectedMean should be the same as computeMeanSafely",
        expectedMean,
        computeMeanSafely(x, y));
    assertMean(x, y);
  }

  /**
   * Helper method that asserts the arithmetic mean of x and y is equal to the result of

        if (!VALID_SHARE.matcher(share).matches()) {
            throw new IllegalArgumentException("Share name contains invalid characters: " + share);
        }
    }

    /**
     * Validates integer for safe arithmetic operations
     *
     * @param a first operand
     * @param b second operand
     * @param operation the operation name
     * @throws ArithmeticException if operation would overflow
     */

    // Exhaustive checks
    for (long x : ALL_LONG_CANDIDATES) {
      for (long y : ALL_LONG_CANDIDATES) {
        assertMean(x, y);
      }
    }
  }

  /** Helper method that asserts the arithmetic mean of x and y is equal to the expectedMean. */
  private static void assertMean(long expectedMean, long x, long y) {
    assertEquals(
        "The expectedMean should be the same as computeMeanSafely",

        void testLargeCapacityCalculation() throws SMBProtocolDecodingException {
            byte[] buffer = new byte[32];
            // Set large values to test 64-bit arithmetic
            buffer[0] = (byte) 0xFF;
            buffer[1] = (byte) 0xFF; // Large alloc
            buffer[24] = (byte) 0xFF; // Large sectPerAlloc
            buffer[28] = (byte) 0xFF;

        offset += 4;
        SMBUtil.writeInt2(bytesPerSect, buffer, offset);

        // Decode
        smbInfoAllocation.decode(buffer, 0, buffer.length);

        // Verify calculations use long arithmetic to avoid overflow
        long expectedCapacity = (long) alloc * sectPerAlloc * bytesPerSect;
        assertEquals(expectedCapacity, smbInfoAllocation.getCapacity());

    9 and CUDA 9.1 sometimes does not properly compute the carry bit when
    decomposing 64-bit address calculations with large offsets (e.g. `load [x +
    large_constant]`) into 32-bit arithmetic in SASS.

    As a result, these versions of `ptxas` miscompile most XLA programs which
    use more than 4GB of temp memory. This results in garbage results and/or
    `CUDA_ERROR_ILLEGAL_ADDRESS` failures.